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Finding the Fourth Proportional to 261,897.94, 392,912.52 and 84,401.02

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Solution

The fourth proportional to 261,897.94, 392,912.52 and 84,401.02 is: 126,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,897.94 : 392,912.52 = 84,401.02 : x
  2. Step 2: Convert to fraction form
    261,897.94/392,912.52 = 84,401.02/x
  3. Step 3: Cross multiply
    261,897.94x = 392,912.52 × 84,401.02
  4. Step 4: Simplify right side
    261,897.94x = 33,162,217,458.77
  5. Step 5: Solve for x
    x = 33,162,217,458.77/261,897.94
  6. Step 6: Final answer
    x = 126,622.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.